г) y'=(cos³(7x))'=3*cos²(7x)*(cos(7x))'=3*cos²(7x)*(-7*sin(7x))=
=-21*sin(7x)*cos²(7x).
в) y'=((3+2x)/sin⁴x)'=(3+2x)'*sin⁴x+(3+2x)*(sin⁴x)'=
=(2*sin⁴x+(3+2x)*4*sin³x*cosx)/sin⁸x=2/sin⁴x+(8x+12)*cosx/sin⁵x.
a) y'=(1-2/x⁶-(x+1)²/3)'=(-2*x⁻⁶-(1/3)*(x+1)²)'=-2*(-6)*x⁻⁷-(1/3)*2(x+1)=
=12/x⁷-(2/3)*(x+1)=12/x⁷-(2x/3)-2/3.
б) y'=(√x*arccos(1-x²))'=(√x)'*arccos(1-x²)+√x+(arccos(1-x²))'=
=arccos(1-x²)/(2*√x)+√x*(-1/√(1-(1-x²)²)*(1-x²)'=
=arccos(1-x²)/(2*√x)+(-2x*√x*(-1/√(1-(1-x²)²)=
=arccos(1-x²)/(2*√x)+(2*x³/²)/√(1-(1-x²)²).